Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium
This study investigates the self-sustaining traveling wave of nuclear fission in a uranium dicarbide medium by numerically solving a system of partial differential equations. The primary focus is on the neutron diffusion equation and nuclide balance equations, which are crucial for understanding the...
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Format: | Article |
Language: | English |
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Institute for Nuclear Research, National Academy of Sciences of Ukraine
2024-12-01
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Series: | Âderna Fìzika ta Energetika |
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Online Access: | https://jnpae.kinr.kyiv.ua/25.4/Articles_PDF/jnpae-2024-25-0357-Shcherbyna.pdf |
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author | M. R. Shcherbyna K. O. Shcherbyna V. O. Tarasov S. I. Kosenko S. A. Chernezhenko |
author_facet | M. R. Shcherbyna K. O. Shcherbyna V. O. Tarasov S. I. Kosenko S. A. Chernezhenko |
author_sort | M. R. Shcherbyna |
collection | DOAJ |
description | This study investigates the self-sustaining traveling wave of nuclear fission in a uranium dicarbide medium by numerically solving a system of partial differential equations. The primary focus is on the neutron diffusion equation and nuclide balance equations, which are crucial for understanding the behavior of fission waves. By solving these equations, we aim to determine the propagation characteristics and assess the stability of nuclear fission waves in uranium dicarbide. Numerical analysis provides significant insights into the dynamics of neutron distribution and nuclide evolution, enhancing our understanding of the underlying physical processes and their implications for traveling wave reactor design. |
format | Article |
id | doaj-art-d96399a28e294fff86d6a606c58ec75d |
institution | Kabale University |
issn | 1818-331X 2074-0565 |
language | English |
publishDate | 2024-12-01 |
publisher | Institute for Nuclear Research, National Academy of Sciences of Ukraine |
record_format | Article |
series | Âderna Fìzika ta Energetika |
spelling | doaj-art-d96399a28e294fff86d6a606c58ec75d2025-01-06T22:48:59ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineÂderna Fìzika ta Energetika1818-331X2074-05652024-12-01254357365https://doi.org/10.15407/jnpae2024.04.357Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide mediumM. R. Shcherbyna0K. O. Shcherbyna1V. O. Tarasov2S. I. Kosenko3S. A. Chernezhenko4Odesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineOdesa Polytechnic National University, Odesa, UkraineThis study investigates the self-sustaining traveling wave of nuclear fission in a uranium dicarbide medium by numerically solving a system of partial differential equations. The primary focus is on the neutron diffusion equation and nuclide balance equations, which are crucial for understanding the behavior of fission waves. By solving these equations, we aim to determine the propagation characteristics and assess the stability of nuclear fission waves in uranium dicarbide. Numerical analysis provides significant insights into the dynamics of neutron distribution and nuclide evolution, enhancing our understanding of the underlying physical processes and their implications for traveling wave reactor design.https://jnpae.kinr.kyiv.ua/25.4/Articles_PDF/jnpae-2024-25-0357-Shcherbyna.pdftraveling wave reactorepithermal neutronsuranium dicarbideneutron diffusion equationreactor designself-sustaining fission wave |
spellingShingle | M. R. Shcherbyna K. O. Shcherbyna V. O. Tarasov S. I. Kosenko S. A. Chernezhenko Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium Âderna Fìzika ta Energetika traveling wave reactor epithermal neutrons uranium dicarbide neutron diffusion equation reactor design self-sustaining fission wave |
title | Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium |
title_full | Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium |
title_fullStr | Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium |
title_full_unstemmed | Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium |
title_short | Numerical analysis of the self-sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium |
title_sort | numerical analysis of the self sustaining traveling wave of nuclear fission propagated by epithermal neutrons in uranium dicarbide medium |
topic | traveling wave reactor epithermal neutrons uranium dicarbide neutron diffusion equation reactor design self-sustaining fission wave |
url | https://jnpae.kinr.kyiv.ua/25.4/Articles_PDF/jnpae-2024-25-0357-Shcherbyna.pdf |
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